The best way to solve all problems involving direct proportion is to start by finding the single unit value

Before solving any direct proportion problem, think carefully about it to make sure you know how to find the single unit value.

If 8 pens cost £5.28, what is the cost of 5 pens?

We need to find the cost of 1 pen.

Pens | Cost | |

8 | £5.28 | |

1 | £5.28 ÷ 8 | £0.66 |

5 | £0.66 x 5 | £3.30 |

12 blocks of cheese make sandwiches for 48 people. How many people can sandwiches can be made from 30 blocks of cheese?

Find out how many sandwiches can be made from 1 block of cheese.

1 block will make 48 ÷12 = 4 sandwiches

30 blocks of cheese will make

30 x 4 = 120 people

Now you have a pen and a cheese sandwich it is time to try out some activities.